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          | Abstract: |  
          | This lecture is a joint work with Dr. Komiya. 
We study the $(p,q)$-Laplace equation under the Dirichlet boundary condition. 
We give a sufficient condition of the nonlinear term for the existence of 
a sequence of solutions converging to zero or diverging to infinity. 
Moreover, we give a priori estimates of the $C^1$-norms of solutions. |  |